4. A rectangular field measures, 616m by 456m. Fencing
placed along its sides at equal distances. What
will be the distance between the posts if they are placedos
for apart as possible? How many posts are required?
​

Answer:

4.4

Step-by-step explanation:

4 5/13 = 4 + 5/13 = 4 + 0.384615... = 4.384615...

Answer: 4.4

Answer:

4.4

Step-by-step explanation:

Answer:

The equation has three solutions:

x= [tex]\frac{1}{2} + \frac{1}{2} log_{2} (3)[/tex]

x=1    

x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

||[tex]4^{x} - 3[/tex]|[tex]-2[/tex]| = 1

|[tex]4^{x} - 3[/tex]|[tex]-2[/tex] = 1                                                |[tex]4^{x} - 3[/tex]|[tex]-2[/tex] = - 1

|[tex]4^{x} - 3[/tex]| = 1+2                                                 |[tex]4^{x} - 3[/tex]| = -1+2

|[tex]4^{x} - 3[/tex]|=3                                                       |[tex]4^{x} - 3[/tex]| = 1

[tex]4^{x} - 3[/tex] =3                 [tex]4^{x} - 3[/tex] = - 3                     [tex]4^{x} - 3[/tex] = 1                 [tex]4^{x} - 3[/tex] = - 1

x= [tex]\frac{1}{2} + \frac{1}{2} log_{2} (3)[/tex]        x∉∅                                x=1                           [tex]x = \frac{1}{2}[/tex]

The union of these four solutions is: [tex]\frac{1}{2} , 1,[/tex] [tex]\frac{1}{2} + \frac{1}{2} log_{2} (3)[/tex]

I hope this is clearly and understandably written to you :)

Answer:

24-5:x2

Step-by-step explanation:

im not sure

mark brainliest if it helps

Answer:

Monthly Payment $201.31

Total Interest Paid $1,289.26

Total Paid $6,039.26

Step-by-step explanation:

3.0 r is the answer

Step-by-step explanation: I help ;)

Answer:

x+4 = y

Step-by-step explanation:

Pretty simple

Answer:

15 slices

5 slice more

Step-by-step explanation:

1 and 1/4 ÷ 1/12 = 15

5/6 ÷ 1/12 = 10

15 - 10 = 5

Answer:

1

Step-by-step explanation:

=>. the value of 3° = 1

=> it is known to us that any number to the

power zero is equals to 1

hope it helps

Answer:

±√7

Step-by-step explanation:

[tex]3 {x}^{2} + 7 = 28 \\ 3 {x}^{2} = 21 \\ {x}^{2} = 7 \\ x = \sqrt{7} [/tex]

Answer:

-26

Step-by-step explanation:

-4(-2)^2 + 2(-2) - 6

-4(4) + -4 - 6

-16 -10

-26

The value of equation [tex]-4x^{2}+2x-6[/tex] is -26 when x = -2

"An equation is a statement of equality between two expressions consisting of variables and/or numbers."

Substitute the value x = -2 in the given equation

[tex]=-4(-2)^{2}+2(-2)-6 \\=-4(4)-4-6\\=-16-4-6\\=-16-10\\=-26[/tex]

Hence, the value of the given equation is -26

To learn more about equation here

https://brainly.com/question/12263808

#SPJ2

Answer:

47 degrees

Step-by-step explanation:

180-133=47

Answer:

∠Q = 44°

Step-by-step explanation:

∠R = 180° - 133°  = 47°

∠Q = 180° - 89° - 47° = 44°

Step-by-step explanation:

1.623/100

=1.623×10^-2

or

=0.01623

Hope it helps

Answer:

A. -2

Step-by-step explanation:

-25p - 2 = 48

First, add 2 to both sides

That gives you

-25p = 50

Then, divide both sides by -25. Then that leaves the answer.. p = -2

Given:

Mary spent 30% of her budget in groceries.

She spent 42$ on groceries.

To find:

The total amount of her budget.

Solution:

Let x be the total amount of the budget.

Then, the amount spent on groceries is 30% of x.

[tex]\dfrac{30}{100}x=0.3x[/tex]

She spent 42$ on groceries.

[tex]0.3x=42[/tex]

Divide both sides by 0.3.

[tex]x=\dfrac{42}{0.3}[/tex]

[tex]x=140[/tex]

Therefore, the total amount of the budget is 140$.

Answer:

59.16  units

Step-by-step explanation:

Given that,

The length of rectangle, L = 13

The breadth of the rectangle, B = 6

The perimeter of the shaded region = perimeter of rectangle - 2(perimeter of semicircle)

[tex]P=13\times 6-[2\times \dfrac{2\pi r}{2}]\\\\=78-2\pi r\\\\=78-2\times 3.14\times 3\\\\=59.16[/tex]

So, the perimeter of the shaded region is 59.16  units.

Answer:

Irrational numbers is correct.

The required square root of 5 is an irrational number.

Given that,
The square root of 5, has a decimal expansion that does not end or repeat. To which set of numbers does it belong is to be determined.

In mathematics, a rational number is a number that can be described as the result of a fraction of value or does not have face value.

An irrational number is a type of real number which cannot be represented as a simple fraction or the values that have face value are irrational numbers. Example: √2, √3, and π are all irrational.

Here,
√5 = 2.2360679775..
Which is an irrational number.

Thus, the required square root of 5 is an irrational number.

Learn more about rational numbers here:

https://brainly.com/question/17450097

#SPJ2

Answer:fraction of the quilt is white = 1/6

Step-by-step explanation:

Let the total quilt be  = 1 ( since we are dealing with fraction)

The portion of quilt that is green  2/6

The portion of quilt that is yellow  3/6

The portion that is white   = Total quilt  −( portion of quilt that is green and yellow)

=1−( 2/6 +  3/6 )

=1  −5/6

=1/6

Answer:

b

Step-by-step explanation:

Opposite angles are equal in a parallelogram. Therefore 2 angles are 112°. Angles in a parallelogram or any quadrilateral are equal to 360°. To find the remaining sides: 360-(112×2) and divide your answer by 2.

Answer:

Lilo has a maximum of 385 minutes to use on her cell phone.

A ≤ 385

Step-by-step explanation:

Let letter A represent the additional number of minutes that Lilo can talk

A + 615 ≤ 1,000

subtract 615 from both sides

A + 615 - 615 ≤ 1,000 - 615

A + 0 ≤ 385

A ≤ 385

Lilo has a maximum of 385 minutes to use on her cell phone.

A + 615 ≤ 1,000; A ≤ 385

Answer:

x = 52

Step-by-step explanation:

Hello there!

All of the angles in a rectangle are right angles

if a right angle has a measure of 90 degrees then we can find x by subtracting the given angle from 90

90 - 38 = 52 so we can conclude that x= 52

Step-by-step explanation:

Each angle in a quadrilateral is 90⁰ therefore 38⁰+x=90⁰

hence x=90⁰-38⁰ which gives you 52⁰

Answer:

80

Step-by-step explanation:

8 times 10 equals 80

8*10 = 80

Answer:

800000000

Step-by-step explanation:

multiple 8 by 10^8 or 100000000

Answer:

No Possible Triangles

Step-by-step explanation:

Deltamath

Answer:

102

Step-by-step explanation:

sinA/a = sinB/b

sin x /57=sin 112/54

0.9786941

sin ^ -1 (0.786941)=78

180- 78=102

Answer: 270

Step-by-step explanation:

Length x width= area

15x 18= area

15 x 18= 279

Given:

The equation are

[tex]y=3x+2[/tex]

[tex]y=2x^2+7x-11[/tex]

To find:

The coordinates of intersection points.

Solution:

We have,

[tex]y=3x+2[/tex]          ...(i)

[tex]y=2x^2+7x-11[/tex]           ...(ii)

From (i) and (ii), we get

[tex]3x+2=2x^2+7x-11[/tex]

[tex]0=2x^2+7x-11-3x-2[/tex]

[tex]0=2x^2+4x-13[/tex]

If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then by quadratic formula:

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

In the equation [tex]0=2x^2+4x-13[/tex], we have [tex]a=2,b=4,c=-13[/tex].

Using quadratic formula, we get

[tex]x=\dfrac{-4\pm \sqrt{4^2-4(2)(-13)}}{2(2)}[/tex]

[tex]x=\dfrac{-4\pm \sqrt{16+104}}{4}[/tex]

[tex]x=\dfrac{-4\pm \sqrt{120}}{4}[/tex]

Now,

[tex]x=\dfrac{-4+\sqrt{120}}{4}[/tex] and [tex]x=\dfrac{-4-\sqrt{120}}{4}[/tex]

[tex]x=1.7386[/tex] and [tex]x=-3.7386[/tex]

[tex]x\approx 1.74[/tex] and [tex]x\approx -3.74[/tex]

Putting x=1.74 in (i), we get

[tex]y=3(1.74)+2[/tex]

[tex]y=5.22+2[/tex]

[tex]y=7.22[/tex]

Putting x=-3.74 in (i), we get

[tex]y=3(-3.74)+2[/tex]

[tex]y=-11.22+2[/tex]

[tex]y=-9.22[/tex]

Therefore, the coordinates of the intersection points are (1.74, 7.22) and (-3.74,-9.22).

Answer:

f(x)= -1

f(x)= 3

f(x)= 7

f(x)= 11

Step-by-step explanation:

You need to add the values of x into the function

f(x)= 4(-1) + 3

f(x)= 4(0) + 3

f(x)= 4(1) + 3

f(x)= 4(2) + 3